If f(x)=3x-1 and g(x)=x+2,find (f+g)(x)

(f + g)(x) = 4x + 1

Step-by-step explanation:

Given f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x):

We can rewrite (f + g)(x) as f(x) + g(x), and solve the composite functions through addition:

f(x) + g(x) = (3x - 1) + (x + 2)

Combine like terms:

f(x) + g(x) = 3x + x + 2 - 1 = 4x + 1

Therefore, (f + g)(x) = 4x + 1.

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step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1